单词 | symmetric difference |
释义 | > as lemmassymmetric difference symmetric difference n. see quot. 1936. ΘΚΠ the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > set theory or extension > symmetric group or difference symmetric group1897 symmetric difference1936 symmetrical difference1978 the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > elements in or parts of > relation between well-ordering1914 symmetric difference1936 partial ordering1938 equivalence relation1940 symmetrical difference1978 1936 Trans. Amer. Math. Soc. 40 38 The Union (modulo 2), or symmetric difference, of two classes is the class of objects belonging to one or the other, but not to both, of those classes. 1971 J. H. Conway in Powell & Higman Finite Simple Groups vii. 225 If some non-empty -set has fewer than five elements, every set of the same cardinal would be a -set,..and by taking symmetric differences we should obtain every two-element set..as a -set, which cannot be. < as lemmas |
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